Explicit port-Hamiltonian formulation of multi-bond graphs for an automated model generation

Pfeifer, Martin; Caspart, Sven; Hampel, Silja; Muller, Charles; Krebs, Stefan; Hohmann, Sören

doi:10.1016/j.automatica.2020.109121

Cited by 5 publications

(4 citation statements)

References 16 publications

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“…Most researchers probably think of them as directed graphs, see e.g. Pfeifer et al (2020). In Coya (2017) a categorical framework is presented featuring 0-and 1-junctions as syntax and functorial semantics for the thereby expressed junction structure.…”

Section: Modelling Languagementioning

confidence: 99%

EPHS: A Port-Hamiltonian Modelling Language

Lohmayer¹,

Leyendecker²

2022

Preprint

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A prevalent theme throughout science and engineering is the ongoing paradigm shift away from isolated systems towards open and interconnected systems. Port-Hamiltonian theory developed as a synthesis of geometric mechanics and network theory. The possibility to model complex multiphysical systems via interconnection of simpler components is often advertised as one of its most attractive features. The development of a port-Hamiltonian modelling language however remains a topic which has not been sufficiently addressed. We report on recent progress towards the formalization and implementation of a modelling language for exergetic port-Hamiltonian systems. Its diagrammatic syntax inspired by bond graphs and its functorial semantics together enable a modular and hierarchical approach to model specification.

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Section: Modelling Languagementioning

confidence: 99%

EPHS: A Port-Hamiltonian Modelling Language

Lohmayer¹,

Leyendecker²

2022

Preprint

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“…The application of a three-dimensional multi-body bond graph modeling approach for simulating vibration in a horizontal oil well was presented in [33]. In [34], a method for an explicit port-Hamiltonian formulation of multibond graphs was introduced.…”

Section: Physicamentioning

confidence: 99%

Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs

et al. 2021

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The direct determination of the steady state response for linear time invariant (LTI) systems modeled by multibond graphs is presented. Firstly, a multiport junction structure of a multibond graph in an integral causality assignment (MBGI) to get the state space of the system is introduced. By assigning a derivative causality to the multiport storage elements, the multibond graph in a derivative causality (MBGD) is proposed. Based on this MBGD, a theorem to obtain the steady state response is presented. Two case studies to get the steady state of the state variables are applied. Both cases are modeled by multibond graphs, and the symbolic determination of the steady state is obtained. The simulation results using the 20-SIM software are numerically verified.

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“…In [20], [28], we can find a discussion of the relationship between bond graphs and port-Hamiltonian systems, and [14], [42] have presented the derivation of port-Hamiltonian models from bond graphs.…”

Section: B Literature Reviewmentioning

confidence: 99%

“…For this purpose, we have taken advantage of the fact that these three approaches share concepts such as power ports (Modelica generalizes this concept with the class connector) or the hierarchical organization (class inheritance and composition in Modelica). Although there are references that combine some of these modeling approaches (e.g., [13], [16], [20], and [42]), they do not address all three together. Moreover, our approach has an additional advantage: it is not necessary to perform a causality analysis when building the models (as required by traditional bond graph modeling) because neither the port-Hamiltonian modeling nor the tools that process the Modelica language need causality indications to automatically generate the computational equations of the models and simulate them.…”

Section: Contributionsmentioning

confidence: 99%

Port-Hamiltonian Modeling of Thermofluid Systems and Object-Oriented Implementation With Modelica I: Thermodynamic Part

2021

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In this paper, we present the physical foundations and the development of the thermodynamic part of a Modelica library with the fundamental components for modeling thermofluid systems. We have chosen Modelica because it is an object-oriented modeling language that allows an elegant design of the library, with a top-down conception that starts from very general components where we model the thermodynamic properties common to all simple substances and descend by inheritance to model the properties of each particular substance. To model the behavior of each component, we have used: classical thermodynamics to define the equilibrium states, the local equilibrium hypothesis of Classical Irreversible Thermodynamics to model the changes of state, and the port-Hamiltonian approach to obtain the equations of the system dynamics. With this formulation, we implement the thermodynamic behavior of ideal gases (including monatomic gases as a particular case), the 2073 substances defined for the CEA (Chemical Equilibrium with Applications) NASA Glenn computer program, the IAPWS Formulation 1995 for the Thermodynamic Properties of Water Substance for General and Scientific Use, and the Syltherm 800 HTF (Heat Transfer Fluid). We also define graphical symbols for each library component that facilitate modeling complex systems with simple drag-and-drop manipulations, component connection, and parameter selection. These symbols are a slightly modified version of those used in bond graphs to facilitate their reading and the representation of the structure of complex systems. We also show the modeling, simulation, and comparison for accuracy, performance, and scalability of some thermodynamic systems implemented with the Modelica Standard Library (MSL) and the proposed library.INDEX TERMS Bond graphs, Modelica language, object oriented modeling, port-Hamiltonian systems, thermodynamic systems, thermofluid systems.

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Explicit port-Hamiltonian formulation of multi-bond graphs for an automated model generation

Cited by 5 publications

References 16 publications

EPHS: A Port-Hamiltonian Modelling Language

EPHS: A Port-Hamiltonian Modelling Language

Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs

Port-Hamiltonian Modeling of Thermofluid Systems and Object-Oriented Implementation With Modelica I: Thermodynamic Part

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